ON CONVERGENCE OF THE INNER-OUTER ITERATION METHOD FOR COMPUTING PAGERANK

被引:20
作者
Bai, Zhong-Zhi [1 ,2 ]
机构
[1] Guizhou Normal Univ, Sch Math Comp & Sci, Guiyang 550001, Guizhou, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Inst Comp Math & Sci Engn Comp, Beijing 100190, Peoples R China
来源
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2012年 / 2卷 / 04期
关键词
PageRank; inner-outer iteration; convergence;
D O I
10.3934/naco.2012.2.855
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Without imposing any restriction on the damping factors and the stopping tolerances, we prove the overall convergence of the inner-outer it eration method for computing the PageRank vector, which was proposed by Gleich, Gray, Greif and Lau (SIAM J. Sci. Comput. 32(2010)349-371). Based on the formula of the contraction factor of the method, we discuss possible choices of the iteration parameters, which could be practically useful for accelerating the convergence rate of the inner-outer iteration method.
引用
收藏
页码:855 / 862
页数:8
相关论文
共 6 条
[1]  
[Anonymous], 1999, SIDLWP19990120
[2]   A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations [J].
Bai, ZZ ;
Sun, JC ;
Wang, DR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (12) :51-76
[3]   A Survey on PageRank Computing [J].
Berkhin, Pavel .
INTERNET MATHEMATICS, 2005, 2 (01) :73-120
[4]   AN INNER-OUTER ITERATION FOR COMPUTING PAGERANK [J].
Gleich, David F. ;
Gray, Andrew P. ;
Greif, Chen ;
Lau, Tracy .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2010, 32 (01) :349-371
[5]   A survey of eigenvector methods for Web information retrieval [J].
Langville, AN ;
Meyer, CD .
SIAM REVIEW, 2005, 47 (01) :135-161
[6]   On adaptively accelerated Arnoldi method for computing PageRank [J].
Yin, Jun-Feng ;
Yin, Guo-Jian ;
Michael Ng .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 19 (01) :73-85